what is the probability of getting an even number when a dice is rolled

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Nature

The probability of getting an even number when a die is rolled can be calculated as follows: A standard die has 6 faces numbered 1, 2, 3, 4, 5, and 6.

Step 1: Identify the even numbers on the die

The even numbers are: 2, 4, and 6.

Step 2: Count the total number of possible outcomes

There are 6 possible outcomes (one for each face).

Step 3: Count the favorable outcomes

There are 3 favorable outcomes (2, 4, and 6).

Step 4: Calculate the probability

Probability=Number of favorable outcomesTotal number of outcomes=36=12\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{3}{6}=\frac{1}{2}Probability=Total number of outcomesNumber of favorable outcomes​=63​=21​

Final answer:

The probability of rolling an even number on a die is 1 2\frac{1}{2}21​ or 50%.